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Which of the following x is accepted by the given DFA (x is a binary string ∑= {0,1})?

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in Automata Theory by (51.1k points)
Which of the following x is accepted by the given DFA (x is a binary string ∑= {0,1})?

(a) divisible by 3

(b) divisible by 2

(c) divisible by 2 and 3

(d) divisible by 3 and 2

This question was addressed to me during a job interview.

I'd like to ask this question from The Language of DFA topic in portion Finite Automata of Automata Theory

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The correct answer is (d) divisible by 3 and 2

Best explanation: The given DFA accepts all the binary strings such that they are divisible by 3 and 2.Thus, it can be said that it also accepts all the strings which is divisible by 6.

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